Information on Result #1203860
Digital (32, 52, 1676)-net over F128, using net defined by OOA based on linear OOA(12852, 1676, F128, 22, 20) (dual of [(1676, 22), 36820, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(12852, 8381, F128, 2, 20) (dual of [(8381, 2), 16710, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12852, 8385, F128, 2, 20) (dual of [(8385, 2), 16718, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 192, F128, 2, 10) (dual of [(192, 2), 371, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,373P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12839, 8193, F128, 2, 20) (dual of [(8193, 2), 16347, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12839, 16386, F128, 20) (dual of [16386, 16347, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(12839, 16386, F128, 20) (dual of [16386, 16347, 21]-code), using
- linear OOA(12813, 192, F128, 2, 10) (dual of [(192, 2), 371, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12852, 8385, F128, 2, 20) (dual of [(8385, 2), 16718, 21]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.